48518445830400 has 4320 divisors, whose sum is σ = 233273432544768. Its totient is φ = 9669810585600.

The previous prime is 48518445830399. The next prime is 48518445830401. The reversal of 48518445830400 is 403854481584.

48518445830400 is a `hidden beast` number, since 4 + 8 + 5 + 18 + 4 + 4 + 583 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48518445830399) and next prime (48518445830401).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48518445830401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 105246086170 + ... + 105246086630.

Almost surely, 2^{48518445830400} is an apocalyptic number.

48518445830400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48518445830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116636716272384).

48518445830400 is an abundant number, since it is smaller than the sum of its proper divisors (184754986714368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48518445830400 is a wasteful number, since it uses less digits than its factorization.

48518445830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 48518445830400 in words is "forty-eight trillion, five hundred eighteen billion, four hundred forty-five million, eight hundred thirty thousand, four hundred".